Superconductivity, superfluidity and quantum geometry in twisted multilayer systems
Superconductivity has been observed in moiré systems such as twisted bilayer graphene,
which host flat, dispersionless electronic bands. In parallel, theory work has discovered that …
which host flat, dispersionless electronic bands. In parallel, theory work has discovered that …
Twisted bilayer graphene. IV. Exact insulator ground states and phase diagram
We derive the exact insulator ground states of the projected Hamiltonian of magic-angle
twisted bilayer graphene (TBG) flat bands with Coulomb interactions in various limits, and …
twisted bilayer graphene (TBG) flat bands with Coulomb interactions in various limits, and …
Twisted bilayer graphene. III. Interacting Hamiltonian and exact symmetries
We derive the explicit Hamiltonian of twisted bilayer graphene (TBG) with Coulomb
interaction projected into the flat bands and study the symmetries of the Hamiltonian. First …
interaction projected into the flat bands and study the symmetries of the Hamiltonian. First …
Critical phase dualities in 1D exactly solvable quasiperiodic models
We propose a solvable class of 1D quasiperiodic tight-binding models encompassing
extended, localized, and critical phases, separated by nontrivial mobility edges. Limiting …
extended, localized, and critical phases, separated by nontrivial mobility edges. Limiting …